n+6=4n-6

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Solution for n+6=4n-6 equation:


Simplifying
n + 6 = 4n + -6

Reorder the terms:
6 + n = 4n + -6

Reorder the terms:
6 + n = -6 + 4n

Solving
6 + n = -6 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
6 + n + -4n = -6 + 4n + -4n

Combine like terms: n + -4n = -3n
6 + -3n = -6 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -3n = -6 + 0
6 + -3n = -6

Add '-6' to each side of the equation.
6 + -6 + -3n = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -6 + -6
-3n = -6 + -6

Combine like terms: -6 + -6 = -12
-3n = -12

Divide each side by '-3'.
n = 4

Simplifying
n = 4

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